Question 972564: Is the inverse of cotangent opposite/adjacent? There is a question that says assuming an angle is in Quadrant I, find the exact value of cos(cot^-1 12/5)), but I don't know how to go about figuring it out because I've never seen a cot^-1 before??? Thanks
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Is the inverse of cotangent opposite/adjacent? There is a question that says assuming an angle is in Quadrant I, find the exact value of cos(cot^-1 12/5)), but I don't know how to go about figuring it out because I've never seen a cot^-1 before???
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cos(cot^-1 12/5))
This reads: cos of an angle (x) whose cot is (12/5) (inverse of cot function)
In other words, cot (x)=12/5
To solve the problem, just find out what angle x is, then take the cos of it.
In given problem, you are working with a (5-12-13) reference right triangle in quadrant I, which means cos x=12/13.
note: the inverse of a trig function is always an angle, whereas, the trig function is a numerical value.
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